Displaying similar documents to “Compound invariants and embeddings of Cartesian products”

On Dragilev type power Köthe spaces

P. Djakov, V. Zahariuta (1996)

Studia Mathematica

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A complete isomorphic classification is obtained for Köthe spaces X = K ( e x p [ χ ( p - κ ( i ) ) - 1 / p ] a i ) such that X q d X 2 ; here χ is the characteristic function of the interval [0,∞), the function κ: ℕ → ℕ repeats its values infinitely many times, and a i . Any of these spaces has the quasi-equivalence property.

Köthe spaces modeled on spaces of C functions

Mefharet Kocatepe, Viacheslav Zahariuta (1996)

Studia Mathematica

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The isomorphic classification problem for the Köthe models of some C function spaces is considered. By making use of some interpolative neighborhoods which are related to the linear topological invariant D φ and other invariants related to the “quantity” characteristics of the space, a necessary condition for the isomorphism of two such spaces is proved. As applications, it is shown that some pairs of spaces which have the same interpolation property D φ are not isomorphic.

Unsolved Problems

N. Aronszajn, L. Gross, S. Kwapień, N. Nielsen, A. Pełczyński, A. Pietsch, L. Schwartz, P. Saphar, S. Chevet, R. Dudley, D. Garling, N. Kalton, B. Mitjagin, S. Rolewicz, E. Schock, J. Daleckiĭ, J. Dobrakov, B. Gelbaum, G. Henkin, L. Nachbin, N. Peck, L. Waelbroeck, P. Porcelli, M. Rao, M. Zerner, V. Zakharjuta (1970)

Studia Mathematica

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